Home
Class 11
MATHS
If f(x) = (1)/(1 -x) x ne 1 and g(x) = (...

If f(x) = `(1)/(1 -x) x ne 1` and g(x) = `(x-1)/(x) , x ne0`, then the value of g[f(x)] is :

A

`-x`

B

x

C

2x

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2 G|10 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2.1|10 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2E|5 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|32 Videos

Similar Questions

Explore conceptually related problems

If f(x) = x^(2) + x + 5 and g(x) = sqrt(x) , then what is the value of (g(4))/(f(1)) ?

Let f(x)=log_(e)|x-1|, x ne 1 , then the value of f'((1)/(2)) is

If f(x)=(1-x)/(1+x), x ne 0, -1 and alpha=f(f(x))+f(f((1)/(x))) , then

If function f(x)=x^(2)+e^(x//2) " and " g(x)=f^(-1)(x) , then the value of g'(1) is

If f(x) = (x-1)/(x+1), x ne -1, 1 , then "fof"^(-1) is

If f(x)=(x+1)/(x-1) , x ne 1 , then f^(-1)(x) is

If f(x) = x^(2) and g(x) = (1)/(x^(3)) . Then the value of (f(x)+g(x))/(f(-x)-g(-x)) at x = 2 is

If y = f(x) = (x+2)/(x-1) , x ne1 , then show that x = f(y) .

If f(x)=x-(1)/(x), x ne 0 then f(x^(2)) equals.

If the function f(x)=x^3+e^(x/2) and g(x)=f ^(−1)(x) , then the value of g ′ (1) is